English

Normalization of monomial ideals and Hilbert functions

Commutative Algebra 2011-03-11 v2 Combinatorics

Abstract

We study the normalization of a monomial ideal, and show how to compute its Hilbert function (using Ehrhart polynomials) if the ideal is zero dimensional. A positive lower bound for the second coefficient of the Hilbert polynomial is shown.

Keywords

Cite

@article{arxiv.math/0604609,
  title  = {Normalization of monomial ideals and Hilbert functions},
  author = {Rafael H. Villarreal},
  journal= {arXiv preprint arXiv:math/0604609},
  year   = {2011}
}

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10 pages